1416349116 has 162 divisors, whose sum is σ = 4510698192. Its totient is φ = 373464000.

The previous prime is 1416349037. The next prime is 1416349117. The reversal of 1416349116 is 6119436141.

1416349116 is a `hidden beast` number, since 1 + 4 + 1 + 634 + 9 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416349117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 295741 + ... + 300491.

It is an arithmetic number, because the mean of its divisors is an integer number (27843816).

Almost surely, 2^1416349116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416349116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255349096).

1416349116 is an abundant number, since it is smaller than the sum of its proper divisors (3094349076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1416349116 is a wasteful number, since it uses less digits than its factorization.

1416349116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4776 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1416349116 is about 37634.4139850749. The cubic root of 1416349116 is about 1123.0267608329.

The spelling of 1416349116 in words is "one billion, four hundred sixteen million, three hundred forty-nine thousand, one hundred sixteen".